Step-by-step explanation:
To find the value of x for which dy/dx = 0 for the given function y = 2x² - x, you need to calculate the derivative of y with respect to x and then set it equal to 0.
First, calculate the derivative dy/dx:
dy/dx = d/dx(2x² - x)
dy/dx = 4x - 1
Now, set dy/dx equal to 0 and solve for x:
0 = 4x - 1
4x = 1
x = 1/4
So, the value of x for which dy/dx = 0 is x = 1/4.
The correct option is (B) 1, ± -1/4.